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102682338408 = 233213234769711
BaseRepresentation
bin101111110100001011…
…0000010010001101000
3100211001002221020210200
41133220112002101220
53140243134312113
6115101022512200
710263364322046
oct1375026022150
9324032836720
10102682338408
113a602559701
1217a98135660
1398b5451230
144d813b7396
152a0e981873
hex17e8582468

102682338408 has 96 divisors (see below), whose sum is σ = 312511530240. Its totient is φ = 30220882560.

The previous prime is 102682338379. The next prime is 102682338427. The reversal of 102682338408 is 804833286201.

102682338408 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 8 + 233 + 8 + 408 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363328 + ... + 2406383.

It is an arithmetic number, because the mean of its divisors is an integer number (3255328440).

Almost surely, 2102682338408 is an apocalyptic number.

102682338408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102682338408 is an abundant number, since it is smaller than the sum of its proper divisors (209829191832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102682338408 is a wasteful number, since it uses less digits than its factorization.

102682338408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769759 (or 4769752 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 102682338408 in words is "one hundred two billion, six hundred eighty-two million, three hundred thirty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 5382 7176 10764 21528 4769711 9539422 14309133 19078844 28618266 38157688 42927399 57236532 62006243 85854798 109703353 114473064 124012486 171709596 186018729 219406706 248024972 329110059 343419192 372037458 438813412 496049944 558056187 658220118 744074916 877626824 987330177 1116112374 1316440236 1426143589 1488149832 1974660354 2232224748 2632880472 2852287178 3949320708 4278430767 4464449496 5704574356 7898641416 8556861534 11409148712 12835292301 17113723068 25670584602 34227446136 51341169204 102682338408